Browsing Mathemateg a Ffiseg / Mathematics & Physics by Author "Cox, Simon"

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Browsing Mathemateg a Ffiseg / Mathematics & Physics by Author "Cox, Simon"

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  • Davies, Ioan Tudur (Aberystwyth UniversityMathematical and Physical Sciences, 2009)
    The rheology of a two-dimensional dry foam is probed with quasi-static bubblescale simulations of the sedimentation of circular discs and elliptical objects. The sedimenting objects move in response to a combination of ...
  • Davies, Ioan Tudur; Cox, Simon (Elsevier, 2009-06)
    The sedimentation of circular discs in a dry two-dimensional, monodisperse foam is studied. This, a variation of the classical Stokes experiment, provides a prototype experiment to study a foam’s response. The interaction ...
  • Cox, Simon; Whittick, Emma (2006)
    We use the Surface Evolver to determine the shear modulus G of a dry 2D foam of 2500 bubbles, using both extensional and simple shear. We examine G for a range of monodisperse, bidisperse and polydisperse foams, and relate ...
  • Cox, Simon; Vaz, Fatima; Teixeira, P. I. C. (2010-12-31)
    Topological defects in a foam, either isolated (disclinations and dislocations) or in pairs, affect the energy and stress, and play an important role in foam deformation. Surface Evolver simulations were performed on large ...
  • Wyn, Aled; Cox, Simon; Davies, Ioan Tudur (2008-04-11)
    Surface Evolver simulations of flowing two-dimensional foams are described. These are used for two purposes. Firstly, to extract the location of the T1s, the changes in bubble topology that occur during plastic flow. It ...
  • Cox, Simon (2007-08-13)
    The flow of two-dimensional aqueous foams in the Couette geometry highlights the shear-response of this complex fluid. Quasistatic simulations using the Surface Evolver software are described which allow the calculation ...
  • Davies, I. T.; Cox, Simon (2012-04-04)
    The effect of the interplay between surface tension and gravity on the sedimentation of objects in structured fluids is investigated by simulating the quasi-static motion of a spherical particle through an ordered foam. ...
  • Durand, Marc; Graner, Francois; Quilliet, Catherine; Cox, Simon; Ataei Talebi, Shirin; Kafer, Jos (2012-02-13)
    We propose an analytical model for the statistical mechanics of shuffled two-dimensional foams with moderate bubble size polydispersity. It predicts without any adjustable parameters the correlations between the number of ...
  • Cox, Simon; Weaire, Denis; Hutzler, Stefan; Peron, N. (2007-04)
    We compare extensive experimental results for the gravity-driven steady drainage of oil-in-water emulsions with two theoretical predictions, both based on the assumption of Poiseuille flow. The first is from standard foam ...
  • Cox, Simon; Graner, François (2004)
    We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws ...
  • Cox, Simon; Kafer, J.; Rabaud, D.; Quilliet, C.; Graner, François; Ataei Talebi, S. (2008)
    A 2D foam can be characterised by its distribution of bubble areas, and of number of sides. Both distributions have an average and a width (standard deviation). There are therefore at least two very different ways to ...
  • Weaire, Denis; Cox, Simon; Vaz, M. Fatima (2003)
    Experiments on a small cluster of bubbles in a nominally two-dimensional foam show an instability in which a topological change forces one of the bubbles to be ejected to the outside of the cluster at ap oint where this ...
  • Wyn, Aled (Aberystwyth UniversityMathematical and Physical Sciences, 2009)
    This thesis concerns the response of two-dimensional foams to applied shear based on numerical simulations in the quasistatic limit. The effect of liquid fraction and areadisorder on the discrete topological changes (T1s) ...
  • Jones, Sian Angharad; Cox, Simon (2011-08-31)
    A two-dimensional foam consists of a monolayer of bubbles. It can be created by squeezing the more familiar three-dimensional foam between two parallel glass plates. We describe and explain the minimum plate separation H ...
  • Weaire, D.; Cox, Simon; Fátima Vaz, M. (2002-04)
    Small cells in an experimental sample of two-dimensional foam, such as that which is contained between two glass plates, may undergo a transition to a three-dimensional form, becoming detached from one boundary. We present ...
  • Jones, Sian; Dollet, B.; Slosse, N.; Jiang, Yi; Cox, Simon; Graner, François (2011-05-05)
    The flow of a quasi-two-dimensional foam through a constriction is described. The bubble velocity and elongation (texture) is compared between two sets of experiments and two different quasi-static simulations using Surface ...
  • Cox, Simon (2005-08)
    An implementation of the recent viscous froth model of Kern et al. [N.Kern, D.Weaire, A. Martin, S. Hutzler, S.J. Cox, The two-dimensional viscous froth model for foam dynamics, Phys. Rev. E 70 (2004) 041411.] in the Surface ...
  • Weaire, Denis; Cox, Simon; Mishuris, Gennady (2009-08-08)
    The steady-state solutions of the viscous froth model for foam dynamics are analysed and shown to be of finite extent or to asymptote to straight lines. In the high-velocity limit, the solutions consist of straight lines ...
  • Raufaste, Christophe; Dollet, Benjamin; Cox, Simon; Jiang, Yi; Graner, François (2007-06)
    We study the two-dimensional flow of foams around a circular obstacle within a long channel. In experiments, we confine the foam between liquid and glass surfaces. In simulations, we use a deterministic software, the Surface ...

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